{
  "id": "cond-mat/0402269",
  "version": "v1",
  "published": "2004-02-10T08:42:55.000Z",
  "updated": "2004-02-10T08:42:55.000Z",
  "title": "Absence of kinetic effects in reaction-diffusion processes in scale-free networks",
  "authors": [
    "Lazaros K. Gallos",
    "Panos Argyrakis"
  ],
  "comment": "4 pages, 4 figures, to be published in Physical Review Letters",
  "journal": "Phys. Rev. Lett. 92, 138301 (2004)",
  "doi": "10.1103/PhysRevLett.92.138301",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We show that the chemical reactions of the model systems of A+A->0 and A+B->0 when performed on scale-free networks exhibit drastically different behavior as compared to the same reactions in normal spaces. The exponents characterizing the density evolution as a function of time are considerably higher than 1, implying that both reactions occur at a much faster rate. This is due to the fact that the discerning effects of the generation of a depletion zone (A+A) and the segregation of the reactants (A+B) do not occur at all as in normal spaces. Instead we observe the formation of clusters of A (A+A reaction) and of mixed A and B (A+B reaction) around the hubs of the network. Only at the limit of very sparse networks is the usual behavior recovered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-10T08:42:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale-free networks",
      "reaction-diffusion processes",
      "kinetic effects",
      "normal spaces",
      "sparse networks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}